Geodesic
Lower bounds for matrices on block weighted sequence spaces. I
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 81-94.

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In this paper we consider some matrix operators on block weighted sequence spaces $l_p(w,F)$. The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on $l_p(w,F)$. This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Classification : 26D15, 46B45, 47B37
Keywords: block weighted sequence spaces; lower bound; inequality; Hausdorff matrix; Hilbert matrix 
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Lashkaripour, R.; Foroutannia, D. Lower bounds for matrices on block weighted sequence spaces. I. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 81-94. http://geodesic.mathdoc.fr/item/CMJ_2009__59_1_a5/